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Q: How does a number line help solve an inequality?
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Why does the inequality sign change when both sides are multiplied or divided by a negative number Does this happen with equations Why or why notWrite an inequality for your classmates to solve I?

-x > a iff** x < -a This is easy to see intuitively by coloring a number line. ** "if and only if"


How do you solve inequality and graph them?

Get the variables on one side of the inequality sign, and the numbers on the other side. You do this by using inverse operations. Divide the number by the variable. If you divide using a negative number you flip the inequality sign. An example of what you are looking at should look like x > 3. You would graph this example by drawing a number line, then putting an open cirlce at three, and shading the number line on the right side of the three. This shows that x is greater than three.


What are All points on a number line that represent the solution to an inequality?

solution set


How is graphing a linear inequality on a coordinate plane different from graphing an inequality on a number line?

The first is 2-dimensional, the second is 1-dimensional.


How do you solve an inequality that has two different variables?

If this is school work, the solution is as follows: Treat the inequality as an equality and graph the relevant line (straight or curved). Set both variables equal to 0 and find out whether or not the inequality at (0,0) is true. If the inequality is false, reject (shade out) all of the plane on the side of the line that contains the origin while if it is true, reject the part of the plane beyond the line. The unshaded part is the valid (or feasible) region.

Related questions

Which compound inequality is graphed on the number line?

Any compound inequality, in one variable, can be graphed on the number line.


Why does the inequality sign change when both sides are multiplied or divided by a negative number Does this happen with equations Why or why notWrite an inequality for your classmates to solve I?

-x > a iff** x < -a This is easy to see intuitively by coloring a number line. ** "if and only if"


How do you solve inequality and graph them?

Get the variables on one side of the inequality sign, and the numbers on the other side. You do this by using inverse operations. Divide the number by the variable. If you divide using a negative number you flip the inequality sign. An example of what you are looking at should look like x > 3. You would graph this example by drawing a number line, then putting an open cirlce at three, and shading the number line on the right side of the three. This shows that x is greater than three.


How can we determine inequality using position on a number line?

butts


How do you solve the inequality and graph a solution?

I think you would use an average two step equation to solve. Graph on a number line. If it was -2, go over 2 to the left, and make a dot. It is hollow or solid. It is solid if there is a line beneath the less than or greater than sign indicating that it is equal to....


How is graphing an inequality on a number line different from graphing an inequality on a coordinate plane?

The first is 2-dimensional, the second is 1-dimensional.


What is the graph of inequality in one variable?

It is a section or several sections of the number line.


What are All points on a number line that represent the solution to an inequality?

solution set


How do you graph -6 is greater than x plus 5 as an inequality on a number graph?

The inequality -6 > x+5 can be rewritten -11 > x (by subtracting five from each side) or rather x < -11. To graph this on a number line, draw an open circle over the number -11 (if the inequality included "or equal to" the circle would be filled in). Then draw a line/arrow coming out of the circle over the number line. The line should only be drawn over the portion of the number line that makes the inequality true. For instance, choose a test point. When x is -20, the inequality is true: -20 < -11. So in this case, the arrow coming out of the open circle will point to the left, in the direction that the number line is getting smaller.


Write an inequality for each sentence Graph the solutions of each inequality on a number line r is not greater than five?

r <= 5.


How is graphing a linear inequality on a coordinate plane different from graphing an inequality on a number line?

The first is 2-dimensional, the second is 1-dimensional.


How do you solve an inequality that has two different variables?

If this is school work, the solution is as follows: Treat the inequality as an equality and graph the relevant line (straight or curved). Set both variables equal to 0 and find out whether or not the inequality at (0,0) is true. If the inequality is false, reject (shade out) all of the plane on the side of the line that contains the origin while if it is true, reject the part of the plane beyond the line. The unshaded part is the valid (or feasible) region.